10001131511350 has 48 divisors (see below), whose sum is σ = 21278379391200. Its totient is φ = 3425922074880.

The previous prime is 10001131511323. The next prime is 10001131511359. The reversal of 10001131511350 is 5311513110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001131511359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12259705 + ... + 13050004.

It is an arithmetic number, because the mean of its divisors is an integer number (443299570650).

Almost surely, 2^{10001131511350} is an apocalyptic number.

10001131511350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001131511350 is an abundant number, since it is smaller than the sum of its proper divisors (11277247879850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001131511350 is a wasteful number, since it uses less digits than its factorization.

10001131511350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25310857 (or 25310852 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

Adding to 10001131511350 its reverse (5311513110001), we get a palindrome (15312644621351).

The spelling of 10001131511350 in words is "ten trillion, one billion, one hundred thirty-one million, five hundred eleven thousand, three hundred fifty".